{
  "abstract": "In one dimension at zero temperature, local baths with spectral exponent $s$ can stabilize a compressible, non-superfluid dissipative phase between the Mott insulator and Luttinger liquid. The dissipative-to-Mott transition is accessible neither to perturbative renormalization-group methods nor to the free-fermion description of the conventional Mott transition. Here, we show it is governed by the worldline of a single doped excitation, whose geometrical roughness determines the critical exponents. Without dissipation, this worldline undergoes Brownian motion, recovering $β=ν=1/z=1/2$. Dissipation turns it into a long-range interacting interface, yielding continuously varying exponents $β=ν=1/z=s-1$ for $1<s<3/2$, and $β=ν=1/z=0$ for $s<1$. The same theory identifies $s=3/2$ as the threshold above which the dissipative phase disappears. Large-scale Monte Carlo simulations of both the single-worldline theory and the original many-body model quantitatively support these predictions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.00086",
  "author_total": 3,
  "authors": [
    {
      "name": "Oscar Bouverot-Dupuis"
    },
    {
      "name": "Alberto Rosso"
    },
    {
      "name": "Laura Foini"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/azfzwwcaebb20.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.00086",
  "fulltext_url": null,
  "id": "azfzwwcaebb20",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.00086",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7167072825",
  "pdf_url": "https://arxiv.org/pdf/2607.00086",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/azfzwwcaebb20.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:26Z",
      "native_id": "2607.00086",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.00086"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Single-worldline theory for a dissipative Mott transition",
  "title_text": "Single-worldline theory for a dissipative Mott transition",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:26Z",
  "url": "https://research.draconitic.com/paper/azfzwwcaebb20",
  "venue": "arXiv",
  "versions": []
}